Elias likes to read during his summer breaks. The table below shows the number of pages in each book he read last summer and the number of pages in each book he read this summer.

Number of Pages Elias Read during the Summer

Last Summer

140

220

190

180

190

This Summer

150

170

150

190

180

Which statement comparing the modes to the ranges is true?
The modes differ by 40 and the ranges differ by 40.
The modes differ by 20 and the ranges differ by 20.
The modes differ by 40, but the ranges differ by 20.
The modes differ by 20, but the ranges differ by 40.

Answer:

5 rainbows and 18 ballons

Step-by-step explanation:

113 ÷ 6 = 18.83333

18 balloons

6×18 = 108 ( total amount of balloons)

113 - 108 = 5

It can be noted that the volume of the ball which is a sphere will be 5572.45 cm³.

From the information given, the soccer ball has a radius of 11 cm. This will be calculated by using the volume of a sphere.

Volume = 4/3πr³

= 4/3 × 3.14 × 11³

= 5572.45 cm³

In conclusion, the correct option is 5572.45 cm³.

Learn more about volume on:

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Answer:

13/18 is  the correct answer to 10(x-2)=-2(4/3+7x)

Step-by-step explanation:

Hope this helps!!!

Answer:

54

Step-by-step explanation:

7 + 4 + 18 + 11 + 14

i hope this work for you

Answer:

6/15 or simplified 2/5

Step-by-step explanation:

id.k if this is right :))

Answer:

e = -4

step-by-step explanation:

2e + 3 + 7 = 2

2e + 10 = 2

2e = 2 - 10

2e = -8

e = -8/2

e = -4

verification:

2e + 3 + 7

2(-4) + 3 + 7

-8 + 10

2 ... Therefore proved.

Answer:

e = -4

Step-by-step explanation:

2e + 3 + 7 = 2

2e + 7 = -1

2e = -8

e = -4

First I subtracted the 3 off both sides to keep the equation equal getting me -1. Then i subtracted off the 7 from both sides getting me -8. Finally, i divide both sides by 2 and get -4. E will equal -4.

Have an amazing day!!!

PLEASE RATE!!

Answer: m = 3

Step-by-step explanation:

We can distribute both sides.

3*m + 3*7 = 6*m + 6*2

3m + 21 = 6m + 12

We can now combine like terms.

3m = 9

m = 3

Answer:

It would be -5 + -6 = 65

Step-by-step explanation:

Add it up to together by removing the -

If the polynomial is having only two factors then the polynomial is a prime polynomial that is shown below.

[tex]\rm x^{2} +4\\\\ x^{2} -5x +2\\\\ x^{2} -x + 27 \\\\2x^{3} -4x + 5\\\\[/tex]

The polynomial that has only two factors is known as a prime polynomial.

The polynomials are

[tex]\rm 1. \ \ x^{2} +4\\\\2. \ \ x^{2} -5x +2\\\\3. \ \ x^{2} +10x -24 \\\\4. \ \ x^{2} -x + 27 \\\\5.\ \ 2x^{3} -4x + 5\\\\6. \ \ 5x^{2} - 10[/tex]

The factor of the given polynomial will be

1.  [tex]\rm x^{2} + 4[/tex] is a prime factor. Because it has only two factors.

2.  [tex]\rm x^{2} -5x + 2[/tex] is a prime factor. Because it has only two factors.

3.  [tex]\rm x^2 + 10 x - 24[/tex] is not a prime factor. Because it has more than two factors.

4.  [tex]\rm x^2 - x + 27[/tex] is a prime factor. Because it has only two factors.

5.  [tex]\rm 2x^3 - 4x + 5[/tex] is a prime factor. Because it has only two factors.

6.  [tex]\rm 5x^2 - 10[/tex] is not a prime factor. Because it has more than two factors.

More about the prime polynomial link is given below.

https://brainly.com/question/17490039

After simplification, the value of expression is, 1.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

Given that;

The expression is,

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

Now, Simplify as;

⇒ 7⁷ × 7³ × 7⁴ / 7⁹ × 7⁵

⇒ 7¹⁴ / 7⁴

⇒ 7⁰

⇒ 1

Learn more about the divide visit:

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The ways that the Inca benefitted from their skills as stonemasons and master builders were:

Thanks to their skills as master builders and stonemasons, the ancient Inca were able to construct large walls around their cities which protected them during times of conflict.

Their construction skills also allowed them to build great houses that gave them shelter from the weather elements thereby ensuring their survival and growth as a civilization.

Find out more on Inca buildings at https://brainly.com/question/1036358.

Answer: 1/48

Step-by-step explanation:

Write 2.5/120 as a fraction , then rewrite it as 25/1200 simplify and get 1/48

Hope this helps!

Answer:

19.25 inches

Step-by-step explanation:

x^2 + 5^2 = 8^2= 64

25+ x^2 = 64

x^2 = 64-25= 39

x = 6.24

perimeter = 19.24

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

[tex] \\ [/tex]

So to find perimeter of triangle first we have to find value of x.

[tex] \\ [/tex]

As it's Given one angle is 90°

So we can find value of x by using this formula:-

[tex] \\ [/tex]

Hypotenuse ² = Base² + perpendicular ²

[tex] \\ [/tex]

Where :-

Hypotenuse is AC

Base is BC

Perpendicular is AB

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢AC² = BC² + AB²

[tex] \\ [/tex]

⇢8² = 5² + x²

[tex] \\ [/tex]

⇢64 = 5² + x²

[tex] \\ [/tex]

⇢64 = 25 + x²

[tex] \\ [/tex]

⇢25 + x² = 64

[tex] \\ [/tex]

⇢x² = 64 - 25

[tex] \\ [/tex]

⇢x² = 39 in.

[tex] \\ [/tex]

⇢x = √(39)

[tex] \\ [/tex]

⇢x = 6.2

[tex] \\ [/tex]

Now Let's find perimeter of triangle.

We know :-

Perimeter of triangle = Side one + side two + side 3

[tex] \\ [/tex]

So:-

[tex] \\ [/tex]

⇢Perimeter of triangle = AB + BC + AC

[tex] \\ [/tex]

⇢Perimeter of triangle = 5 + 8 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 13 + 6.2

[tex] \\ [/tex]

⇢Perimeter of triangle = 19.2 in.

Answer:

C

Step-by-step explanation:

Area: [tex]6 \times 3 = 18[/tex]

Perimeter: [tex]2 \times (6 + 3) = 18[/tex]

Answer:

C) 6 in. x 3

Step-by-step explanation:

using the formula:

area:

6 * 3

18 in²

perimeter:

2( 6 + 3)

2(9)

18 in

Hence proved that C is the right answer.

Answer:

960

Step-by-step explanation:

I used a calculator but its 3% of $8,000 (which I'm pretty sure is 8,000 divided by 3) x 4 so in that's 240x4 which equals 960. Hope this helps have a good day!

Answer:

$960

Step-by-step explanation:

Simple interest is interest that goes up the same amount each period. The formula for simple is A=P(1+rt), where is A is the total amount, P is the principal (aka initial amount), r is the rate (in decimal form), and t is the time.

So, to solve we can use the equation, A=8000(1+0.03*4). In this equation A=8960, meaning that in 4 years the total amount owed, including the initial loan, will be $8960. Since the difference between the principal and the total amount is 960, $960 is the amount paid in interest.

Step-by-step explanation:

24/36

=2/3

Hope it helps

Answer:

2/3

Step-by-step explanation:

12×2 = 24

&

12×3 = 36

=2/3

(would appreciate it if you could mark me the brainliest :))

Answer:

solution: KL-2ML. LKIN=63x2=126*

Step-by-step explanation:

Mark me brainliest!!

Answer:

Step-by-step explanation:

If we think about a right triangle, we get that the hypotenuse is 24ft or the length of the ladder. The base of the ladder is 15ft away from the building which is the leg of the right triangle. The screenshot is the diagram (my drawing isn't that good lol:))

Thus we can use cosine function with the angle between the ladder and the ground since we need to find the angle and we get

[tex]cos\alpha = \frac{15}{24}[/tex]

and [tex]\alpha = 51.3 degrees[/tex]

The angle is 51.3 degrees hope that helps!

Answer:

Step-by-step explanation:

The compound interest formula is [tex]P(1+r/n)^{nt}[/tex]

Known information:

Now let's set up the equation:

  Future amount: [tex]18733 (1+\frac{0.051}{4} )^{4*10}[/tex] [tex]=31,095.49[/tex]

Thus the future amount is $31.095.49.

Hope that helps!

Answer:

38x

Step-by-step explanation:

{(10x+1)3x}+5(5x)

10x+3x+25x=38x

Answer:

2x*(15x+14)

Step-by-step explanation:

First Step:

(3 • (10x + 1) • x) +  25x

Second Step:

 3x • (10x + 1) +  25x

Third Step:

.....

Fourth Step:

Pull out like factors :

30 x 2 + 28x  =   2x • (15x + 14)

Final result :

 2x • (15x + 14)

Answer:126

Step-by-step explanation:40+40+40=120. 2x3 6. So 120+6= 126

Answer:

(59.90 - 50)/10

Step-by-step explanation:

(its 0.99)

Answer:

113.112 cm³

Step-by-step explanation:

Volume (sphere) = 4/3πr³

= 4/3 x 3.142 x 27

= 36 x 3.142

= 113.112 cm³

Answer:

2

Step-by-step explanation:

g(3)=3/(3-2)-1

3/1-1

3-1

2

Answer:

22π cm³

Step-by-step explanation:

Let's start with the formulas for volume:

volume of cylinder = πr²h

volume of cone = (1/3)πr²h

Notice the formulas above for the volume of a cylinder and the volume of a cone. The only difference is that the volume of the cone has the fraction 1/3 multiplying the rest, and the rest is exactly the same as in the volume of the cylinder.

That means that if a cylinder and a cone have the same radius and height, the volume of the cone is 1/3 the volume of the cylinder.

Here, the cylinder and cone do have the same radius and height. That means the volume of the cone is 1/3 the volume of the cylinder.

The volume of the cylinder is 66π cm³.

The volume of the cone is 1/3 of that volume, so divide 66π cm³ by 3 to find it.

volume of cone = 66π cm³ / 3 = 22π cm³

Answer: 22π cm³

Answer:

At 6 hours the cost is the same. At 10 hours of service Henry is cheaper.

Step-by-step explanation:

This is simple. Follow my lead!

First we must create an equation for George

He charges $90 initially and then $40 per hour

So George's equation is:

[tex]y = 40x + 90[/tex]

Now let's find Henry's equation!

He charges $120 initially and then $35 per hour

So Henry's equation is:

[tex]y = 35x + 120[/tex]

1) To find when they will be the same, just set them equal to each other and solve for x.

[tex]40x + 90 = 35x + 120 \\ - 35x \\ 5x + 90 = 120 \\ - 90 \\ 5x = 30 \\ \div 5 \\ x = 6[/tex]

This means that when x = 6 or at 6 hours in the cost is the same!

2) Just solve both equations with x = 10

[tex]y = 40(10) + 90 \\ y = 400 + 90 \\ y = 490[/tex]

At 10 hours George's service costs $490!

[tex]y = 35(10) + 120 \\ y = 350 + 120 \\ y = 470[/tex]

At 10 hours Henry's service costs $470!

$470 is less than $490 so that means Henry is more cheaper!

Yay! We did it!

Brainliest Appreciated! If you have questions please don't hesitate to comment.